Question

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find the probability that it bears 

(i) a two digit number 

(ii) a number which is a perfect square

Answer 1

Total number of possible outcomes, n(S) = 89 

(i) Number of favorable outcomes of getting a two digit number = 81

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{81}{89}\)

(ii) Number of favorable outcomes of getting a perfect square = 8

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{8}{89}\)